LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS

	LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS
	Chen Huangxin 2; Xu Xuejun 1; Zheng Weiying 1
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2012
卷号	30 期号:3 页码:223-248
关键词	BOUNDARY-VALUE-PROBLEMS WEIGHTED L2 PROJECTION FINITE-ELEMENT METHODS MULTIGRID V-CYCLE DOMAIN DECOMPOSITION 3 DIMENSIONS ITERATIVE METHODS ERROR ESTIMATORS SCHWARZ METHODS REFINED MESHES Local multilevel method Adaptive finite element method Preconditioned conjugate gradient method Discontinuous coefficients
ISSN号	0254-9409
其他题名	Local Multilevel Methods for Second-Order Elliptic Problems with Highly Discontinuous Coefficients
英文摘要	In this paper, local multiplicative and additive multilevel methods on adaptively refined meshes are considered for second-order elliptic problems with highly discontinuous coefficients. For the multilevel-preconditioned system, we study the distribution of its spectrum by using the abstract Schwarz theory. It is proved that, except for a few small eigenvalues, the spectrum of the preconditioned system is bounded quasi-uniformly with respect to the jumps of the coefficient and the mesh sizes. The convergence rate of multilevel-preconditioned conjugate gradient methods is shown to be quasi-optimal regarding the jumps and the meshes. Numerical experiments are presented to illustrate the theoretical findings.
资助项目	[National Basic Research Program] ; [National Science Foundation of China] ; [China NSF] ; [Funds for Creative Research Groups of China] ; [National Magnetic Confinement Fusion Science Program]
语种	英语
CSCD记录号	CSCD:4564407
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/57390]
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.厦门大学
推荐引用方式 GB/T 7714	Chen Huangxin,Xu Xuejun,Zheng Weiying. LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2012,30(3):223-248.
APA	Chen Huangxin,Xu Xuejun,&Zheng Weiying.(2012).LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS.JOURNAL OF COMPUTATIONAL MATHEMATICS,30(3),223-248.
MLA	Chen Huangxin,et al."LOCAL MULTILEVEL METHODS FOR SECOND-ORDER ELLIPTIC PROBLEMS WITH HIGHLY DISCONTINUOUS COEFFICIENTS".JOURNAL OF COMPUTATIONAL MATHEMATICS 30.3(2012):223-248.